Chemistry · Ch 15 — Hydrocarbons
Structure of benzene
Structure of benzene
Benzene's molecular formula, C6H6, carries a high degree of unsaturation on paper, and both open-chain and cyclic structures with double and/or triple bonds could in principle be drawn for it. But benzene's actual chemical behaviour rules out any such structure: as Table 15.7 shows directly, an alkene decolourises dilute alkaline KMnO4, decolourises Br2 in CCl4, and adds water in acidic medium, while benzene does none of these three things at all. This total absence of typical alkene-style reactivity, despite benzene's formula suggesting three degrees of unsaturation, is the first and clearest piece of evidence that benzene cannot have an ordinary open-chain polyene structure. Further evidence points specifically to a symmetric six-membered ring: benzene reacting with equimolar bromine (FeBr3 catalyst) gives only ONE monosubstituted product (C6H5Br), with no isomers at all, which is possible only if all six hydrogens (and, by extension, all six carbons) in benzene are completely equivalent to one another -- exactly what a symmetric six-carbon ring, each carbon bearing one hydrogen, would produce. Catalytic hydrogenation of benzene over nickel gives cyclohexane (adding 3 H2), independently confirming both the six-membered ring and the presence of three double-bond-equivalents of unsaturation. Kekule (1865) proposed the structure that follows most directly from this evidence: a planar, six-membered ring of carbon atoms with alternating single and double bonds, one hydrogen on each carbon. This simple alternating structure predicts that there should be two distinguishable isomers of 1,2-dibromobenzene (bromines on a formally double-bonded carbon pair, versus on a formally single-bonded pair), but in reality only ONE ortho-dibromobenzene is ever isolated. Kekule patched this discrepancy by proposing that the double bonds 'oscillate' rapidly between the two possible positions, but even this refinement still could not explain benzene's unusually low reactivity or its strong preference for substitution over addition -- an explanation that had to wait for resonance theory. In the resonance picture, benzene is understood as a hybrid of the two Kekule structures (which differ only in which alternating set of carbons carries the double bonds); the true molecule is more stable than either individual resonance structure, and this extra resonance stabilisation is strong enough that the ring's pi electrons resist the localisation needed for an ordinary addition reaction, directly explaining the lack of reactivity seen in Table 15.7. The modern orbital picture makes this concrete: all six ring carbons are sp2-hybridised, using two of their three sp2 orbitals to form the six ring C-C sigma bonds and the third to form a C-H sigma bond, which leaves one unhybridised p-orbital standing perpendicular to the ring plane on every carbon. These six parallel p-orbitals overlap laterally all the way around the ring, and because this overlap can be drawn equally validly as either of two alternative pairings (C1-C2/C3-C4/C5-C6, or C2-C3/C4-C5/C6-C1), molecular orbital theory describes the resulting six pi electrons as genuinely delocalised over the whole ring, occupying a lowest-energy pi molecular orbital that forms two continuous rings of electron density, one above and one below the plane of the six carbons. This deloca …
Reaction, alkene behaviour, benzene behaviour: with dilute alkaline KMnO4, an alkene decolourises the purple KMnO4 but benzene shows no decolourisation. With Br2 in CCl4, an alkene decolourises the red-brown bromine colour but benzene shows no decolourisation. With H2O in acidic medium, an alkene adds a water molecule but benzene shows no reaction at all. This stark contrast, despite benzene's formula suggesting three C=C double bonds, is the key evidence that benz …
Worked out. Benzene reacting with equimolar bromine (FeBr3 catalyst) gives only ONE monosubstituted product, C6H5Br, with no isomers -- possible only if all six hydrogens (and all six carbons) are identical, which requires a cyclic ring of six CH units. Catalytic hydrogenation of benzene with Ni gives cyclohexane (C6H6 + 3H2 -> C6H12), confirming both the six-carbon ring and the presence of three C=C-equivalent unsaturations. Kekule (1865) proposed a planar hexagonal ring with alternating single and double bonds and one H per carbon. This structure predicted two different 1,2-dibromobenzene isomers (bromines on a double-bonded pair of carbons vs. on a single-bonded pair), but only one ortho-dibromobenzene is ever found; Kekule patched this with 'oscillating' double bonds, but even that modification could not explain benzene's unusual stability and its prefer …
Worked out. Benzene is a resonance hybrid of the two Kekule structures (A and B, differing only in which alternating carbons carry the formal double bonds); the true molecule is more stable than either resonance structure alone, and this resonance stabilisation is strong enough that benzene's pi system resists the bond-breaking needed for addition reactions, explaining its low reactivity toward the addition reagents in Table 15.7. In orbital terms, all six ring carbons are sp2 hybridised: two sp2 orbitals per carbon form the six C-C sigma bonds of the ring, and the third sp2 orbital on each carbon forms a C-H sigma bond, leaving one unhybridised p-orbital per carbon standing perpendicular to the ring plane. These six p-orbitals overlap side-on (laterally) all the way around the ring -- equally well as C1-C2/C3-C4/C5-C6 pairing or as C2-C3/C4-C5/C6-C1 pairing, the two resonance possibilities -- and molecular-orbital theory describes the resulting six pi electrons as fully delocalised over all six carbons, in a lowest-energy pi molecular orbital shaped like two continuous rings of electron density, one above and one below the plane of the ring. X-ray diffraction confirms this picture directly: every C-C bond length in benzene is the same, 139 pm, sitting between a pure single bond (154 pm) and a pure double bond (133 pm) -- there is no genuine double bond anywhere in the ring, which is exactly why benzene resist …